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255686742 = 232411991741
BaseRepresentation
bin11110011110101…
…11100001010110
3122211010020021100
433033113201112
51010423433432
641212130530
76223205253
oct1717274126
9584106240
10255686742
11121368263
1271766a46
1340c83c3c
1425d5a42a
15176a907c
hexf3d7856

255686742 has 48 divisors (see below), whose sum is σ = 570679200. Its totient is φ = 82684800.

The previous prime is 255686737. The next prime is 255686771. The reversal of 255686742 is 247686552.

255686742 is a `hidden beast` number, since 25 + 568 + 67 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145992 + ... + 147732.

It is an arithmetic number, because the mean of its divisors is an integer number (11889150).

Almost surely, 2255686742 is an apocalyptic number.

255686742 is an abundant number, since it is smaller than the sum of its proper divisors (314992458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255686742 is a wasteful number, since it uses less digits than its factorization.

255686742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1986 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 255686742 is about 15990.2076909589. The cubic root of 255686742 is about 634.7013223260.

It can be divided in two parts, 2556 and 86742, that added together give a palindrome (89298).

The spelling of 255686742 in words is "two hundred fifty-five million, six hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 199 246 369 398 597 738 1194 1741 1791 3482 3582 5223 8159 10446 15669 16318 24477 31338 48954 71381 73431 142762 146862 214143 346459 428286 642429 692918 1039377 1284858 2078754 3118131 6236262 14204819 28409638 42614457 85228914 127843371 255686742